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math.SP2025
On a Question of Poltoratski
Netanel Levi
We study half-line discrete Schrödinger operators and their rank-one perturbations. We establish certain continuity and stability properties of the Fourier transform of the associa…
math.SP2025
On Fractal Continuity Properties of Certain One-Dimensional Schrödinger Operators
Netanel Levi
We construct examples of one-dimensional Schrödinger operators that illustrate the subtle nature of fractal continuity properties of spectral measures. First, we present half-line…
math.SP2025
Universality of Packing Dimension Estimates for Spectral Measures of Quasiperiodic Operators: Monotone Potentials
Netanel Levi
Let be a quasiperiodic Schrödinger operator generated by a monotone potential, as defined in [16]. Following [20], we study the connection between the Lyapunov exponent $L\left…